Mach number effects on shock-bubble interaction

Shock Waves

Volumn 11, Issue 3, 2001, Pages 209-218

  Bagabir, A ^a   Drikakis, D ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Bubble; Compressible flow; Mixing; Shock waves; Turbulence; Vorticity

Indexed keywords

EID: 0035639022     PISSN: 09381287     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004076     Document Type: Article

References (38)

1. Arnett WD and Bahcall JN and Kirshner RP and Woosley SE (1989) Supernova 1987A. Ann. Rev. Astron. Astrophys. 27: 629-700
2. Bagabir A (2000) On the accuracy and efficiency of Godunov-type methods in various compressible flows, PhD dissertation, Queen Mary, University of London
3. Ben Dor G (1992) Shock Wave Reflection Phenomena, Springer Bryson AE and Gross RWF (1961) Diffraction of strong shocks by cones, cylinders and spheres. J. Fluid Mech. 10: 1-16
4. Davis SF (1988) Simplified second-order Godunov-type methods. SIAM J. Sci. Stat. Comput. 9: 445-473
5. Delery JM (1983) Experimental investigation of turbulence properties in transonic shock wave/boundary-layer interaction, AIAA J. 21: 180-185
6. Ding Z, Gracewski SM (1996) The behaviour of a gas cavity impacted by a weak or strong shock wave. J. Fluid Mech. 309: 183-209
7. Drikakis D (1999) Unsteady shock-wave diffraction, Recent Res. Devel. Fluid Dynamics, Transworld Research Network 2: 1-19
8. Drikakis D, Tsangaris S (1993) On the accuracy and efficiency of CFD methods in real gas hypersonics, Int. J. for Numerical Methods in Fluids 16: 759-775
9. Drikakis D and Durst F (1994) Investigation of flux formulae in the shock wave/turbulent boundary layer interaction. Int. J. Numer. Methods Fluids 18: 385-413
10. Eberle A (1987) Characteristic Flux Averaging Approach to the Solution of Euler's Equations. VKI Lecture Series, Computational Fluid Dynamics, 1987-04
11. Eberle A, Rizzi A, and Hirschel EH (1992) Numerical solutions of the Euler equations for steady flow problems, Notes on Numerical Fluid Mechanics 34, Vieweg Verlag
12. Haas JF and Sturtevant B (1987) Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J. Fluid Mech. 181: 41-76
13. Harten A, Lax PD, van Leer B (1983) On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review 25: 35-61
14. Henderson LF, Collella P, Puckett EG (1991) On the refraction of shock waves at a slow-fast gas interface. J. Fluid Mech. 224: 1-27
15. Hillier R (1991) Computation of shock wave diffraction at a ninety degrees covex edge. Shock Waves 1: 89-98
16. Jacobs JW (1992) Shock-induced mixing of a light-gas cylinders. J. Fluid Mech. 234: 629-649
17. Lindl DL, McCrory RL, Campbell EM (1992) Progress toward ignition and burn propagation in inertial confinement fusion. Physics Today 32-40
18. Madar CL (1965) Initiation of detonation by the interaction of shocks with density discontinuities. Phys. Fluids 8: 1811-1816
19. Marble FE, Hendricks GJ, Zukoski EE (1989) Progress toward shock enhancement of supersonic combustion processes. AIAA Paper 87-1880
20. Ofengeim DK, Drikakis D (1997) Simulation of blast wave propagation over a cylinder. Shock Waves 7: 305-317
21. Picone JM, Boris JP, Greig JR, Raleigh M, Fernsler RF (1981) Convective cooling of lightning channels. J. Atmos. Sci. 38: 2056-2062
22. Picone JM, Boris JP (1988) Vorticity generation by shock propagation through bubbles in a gas. J. Fluid Mech. 189: 23-51
23. Quirk JJ, Karni S (1996) On the dynamics of a shock-bubble interaction. J. Fluid Mech. 318: 129-163
24. Roe PL (1981) Approximate Riemann solvers, parameter vectors and difference schemes. J. Comput. Phys. 43: 357-372
25. Roe PL, Pike J (1984) Efficient construction and utilisation of approximate Riemann solutions. In: Proc. of IMA conference on numerical methods in fluid dynamics, Computing Methods in Science and Engineering VI, North-Holland, INRIA
26. Rudinger G, Somers L (1960) Behaviour of small regions of different gases carried in accelerated gas flows. J. Fluid Mech. 7: 161-176
27. Samtaney R, Zabusky NJ (1994) Circulation deposition on shock-accelerated planar and curved density-stratified interfaces: models and scaling laws. J. Fluid Mech. 269: 45-78
28. Steger JL and Warming RF (1981) Flux Vector Splitting of the inviscid gasdynamic equations with applications to finite difference methods. J. Comput. Phys. 40: 263-293
29. Takayama K (1999) Application of shock wave research to medicine. In: Ball, Hillier, Roberts (eds), Proc. of 22nd International Symposium on Shock Waves, Imperial College, London (UK), pp 23-32
30. Tamagawa M, Akamatsu T (1999) Modeling of deformation for living tissue cells with sub-structure by shock waves. In: Ball, Hillier, Roberts (eds) Proc. of 22nd International Symposium on Shock Waves, Imperial College, London (UK), pp 595-560
31. Thomas JL, van Leer B, Walters (1985) Implicit flux split scheme for the Euler equations. AIAA-paper 85-1680
32. Toro EF, Spruce M, Speares W (1994) Restoration of the contact surface in the HLL-Riemann solver. Shock Waves 4: 25-34
33. Van Leer B (1979) Towards the ultimate conservative difference scheme V. Second-order sequel to Godunov's method. J. Comput. Phys. 32: 101-136
34. Yang J, Kubota T, Zukoski EE (1993) Applications of shock-induced mixing to supersonic combustion. AIAA J. 31: 854-862
35. Yang J, Kubota T, Zukoski EE (1994) A model for characterization of a vortex pair formed by shock passage over a light-gas inhomoheneity. J. Fluid Mech. 258: 217-244
36. Zabusky NJ, Zeng SM (1998) Shock cavity implosion morphologies and vortical projectile generation in axisymmetric shock-spherical fast/slow bubble interaction. J. Fluid Mech. 362: 327-346
37. Zhang Q, Graham MJ (1997) A numerical study of Richtmyer-Meshkov instability driven by cylindrical shocks. American Institute of Phys. 10: 974-993
38. Zółtak J, Drikakis D (1998) Hybrid upwind methods for the simulation of unsteady shock-wave diffraction over a cylinder. Comput. Meth. Appl. Mech. Eng. 162: 165-185